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No, that's no coincidence. Many, perhaps most, moons in the Solar System have the same rotation pattern.

The Moon must have gradually slowed down, due to tidal forces, until it always shows Earth the same side. (If it rotates slower than its revolution, tidal forces would speed its rotation up.) Similarly, Earth is rotating slower and slower, until one day in the distant future, it will always show the Moon the same side. However, since Earth has much more mass than the Moon, slowing it down takes longer.

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Q: Is it just a coincidence that the time for the moon to revolve around the earth is the same as the time for the moon to rotate on its axis or is there some scientific reason for these to be the same?
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